Cannot Delete Shortcuts


Hello. First time user here so I'm unsure as to whether I'm on the correct forum or not...

I'm new to Android. Got an Android phone yesterday running Ice Cream Sandwich.

Basically, I'm having trouble deleting some shortcuts. Some shortcuts will delete (like those downloaded) but others simply will not. It seems the ones that are pre-installed like Google Hangouts and Google Playbooks and Power Saver are the ones that will not delete from the home screen; I can't stand all the clutter!

If anybody could help me, that would be much appreciated.